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Quantum evaporation of a black hole in tachyon field collapse

 A marginal Lemaitre-Tolman-Bondi setting with a tachyon field is considered
herein, as a model for gravitational collapse. The tachyon potential is assumed to be of
inverse square form. In the classical regime, the final asymptotic state can be a naked singularity or a
black hole formation as collapse end state. It is shown, using a dynamical system analysis, that we
obtain two attractor solutions for the collapsing system. Asymptotically, these solutions
approach a homogeneous dustlike tachyon field collapse, whose final stage may be of a black hole formation.
We then investigate whether modifications to the collapsing system, imported from loop quantum
gravity, can affect the fate of the final state. Restricting ourselves to inverse triad corrections,
we obtain several classes of analytical as well as numerical solutions in the semiclassical regime. A
qualitative analysis provides one stable fixed point solution for the collapsing system. Our results
indicate that the loop quantum effect induces an an outward flux of energy, with neither a black hole or
naked singularity forming.
 
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